
To write: The type of transformation of the composite dilations

Answer to Problem 29WE
The composite of both dilations is a translation.
Explanation of Solution
Given information: The
Calculation:
A transformation related to similarity rather than congruence is called dilation. The dilation
The dilation
(1) If
(2) If
(3) The center
The dilation is called an expansion for
A glide or translation is the movement of a plane from one position to another without changing its orientation, or in simple words, a transformation that glides all points of a plane the same distance in the same direction is called a translation.
Consider dilation about the point
Consider dilation about the point
The first dilation is an example of expansion and it expands the line
It is clear that it composite of both dilations can be written as;
The only difference is the position of the image, and it is not same, so it is a case of translation.
Therefore, the composite of both dilations is a translation.
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